Apparently not, and it works when the device's audio is muted.
The AliExpress website was found processing a fixed audio waveform and examining the resulting numerical values. Tiny differences can arise from the browser, operating system, CPU behavior, audio hardware, and drivers. When combined with other signals, they become another input that can contribute to a browser or device identifier.
Investigation of the page’s code reportedly found audio-processing graphs that were set to zero volume but remained connected to the system audio output. That explains why a user could hear nothing, and why muting a browser tab would not necessarily prevent the processing. All the relevant work was occurring within the Web Audio graph rather than through a conventional media player.